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Answer:

a) (2,-8)

b) grad=4

Step-by-step explanation:

a) (5-1/2,-14-2/2)

=(4/2,-16/2)

=(2, - 8)

b)grad=-14-2/5-1

=-16/4

=4

Answer:

7) A    8) C

Step-by-step explanation:

number 7 tells us that y=x+1

so we just basically plug it in

2x+3(x+1)=4  Answer: A

to eliminate x's in number 8, we have to multiply one of the equations by -1

let's multiply the second one

4x+3y=6

4x ·-1-y·1=2·-1

4x+3y=6

-4x+y=-2

x's eliminate

4y=4, meaning that the answer is C

Step-by-step explanation:

y= -200 - 72

y= -272

because -a - b = -x

this is a formula

Answer:

The answer is 100 feet.

Step-by-step explanation:

I

Answer:

142692, that a lot of pencils

Step-by-step explanation:

Answer:

[tex]142,692[/tex]

Step-by-step explanation:

[tex]564 \times 253 = [/tex]

The expression 7(6) + 14=56 will be equal to 7(a + 2)  at a = 6

We have an expression  

7(a + 2)  

Now at a = 6, its value will be

7 (6 + 2) = 7 × 8 = 56

Now from the given options we can see that

7 (6)=42

9 (6)=54

7 (6) + 2=44

7(6) + 14 = 42 + 14 = 56

Thus the expression 7(6) + 14=56 will be equal to 7(a + 2)  at a = 6

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Answer: B: 4/13, C: 3/4

B:

There were originally a total of 14 characters (including 5 blue characters) from the collection. Since the first player got a blue character, there are now 13 characters to choose from and 4 of them are blue. Therefore, the probability is 4/13.

C: If both the first and second players get blue characters, then there will be 12 characters left, and 3 of them are blue. Now we know that there are 9 characters that are NOT blue. Therefore, the probability is 9/12, or 3/4.

The angle measure of each inscribed quadrilateral is as follows;

10

∠P = 90°

∠R = 90°

∠Q = 140°

∠S = 40°

11.

∠A = 70°

∠C = 110°

∠ B  = 115°

∠D = 55°

12.

∠B = 100°

∠D = 80°

∠E = 141°

∠C = 39°

13.

∠V = 101°

∠T  = 79°

∠U = 86°

∠W = 94°

A cyclic quadrilateral has all it vertices on the circumferences of the circle .   opposite angle of a cyclic quadrilateral add up to 180 degrees. The sum of the whole angles add up to 360 degrees. Therefore, tha angle measure of each inscribed quadrilateral is as follows

10.

5x + 20 + 7x - 8 = 180

12x + 12 = 180

12x = 180 - 12

12x = 168

x = 168 / 12

x = 14

Therefore,

11.

4z - 10 + 10 + 5z = 180

9z = 180

z = 20

Therefore,

12.

1 / 2 z + 1 / 4 z + 30 = 180

3 / 4 z + 30 = 180

3 / 4 z = 150

3z = 600

z = 600 / 3

z = 200

Therefore,

13.

15y - 4 + 12y - 5 = 180

27y = 180 + 9

y = 189 / 27

y = 7

14 + 4x + 6x - 14 = 180

10x = 180

x = 18

Therefore,

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Answer:

Primary Data hope this helps

Step-by-step explanation:

[tex]\longrightarrow \sf Slope = -7 [/tex]

[tex]\longrightarrow \sf y-intercept = 2[/tex]

The equation of any straight line can be written as in slope intercept form as -

[tex]\green{ \underline { \boxed{ \sf{y=mx+c}}}}[/tex]

where,

[tex]\leadsto[/tex]Comparing the equation y = -7x+2 with the standard form of the equation, we get -

Hence,

Answer:

2(x-4)+2(2x+5)

Step-by-step explanation:

The perimeter of a rectangle is 2(length)+2(width). Thus, the side values can be simply plugged into this equation.

Answer:

P = 2(2x+5) + 2(x-4)

Step-by-step explanation:

Perimeter is found by adding all sides

(2x+5) + (2x+5) + (x-4) + (x-4)

Notice there are two sets of sides.

Answer: 6.5 years

Step-by-step explanation:

the formula for simple interest is:

SI = PRT, SI is the interest after a time, P is the principle amount, R is the rate, and T is the time passed

In our case:

1462.50 = 7500 x 0.03 x T

Solving for T:

1462.50 = 225T

.: T = 1462.50/225 = 6.5 years

She borrowed the money for 6.5 years

Answer:

[tex]\dfrac13x=y-3[/tex]

Step-by-step explanation:

A linear function is the form:  [tex]f(x)=mx+b[/tex]

A quadratic function is any polynomial function where the highest exponent is 2.

A cubic function is any polynomial function where the highest exponent is 3.

A reciprocal function is in the form:  [tex]f(x)=\dfrac{a}{bx}[/tex]

[tex]\dfrac13x=y-3[/tex]

[tex]\implies y= \dfrac13x+3[/tex]

Therefore, this is a linear function

Cubic function:    [tex]y=x^3+2[/tex]

Quadratic function:   [tex]y=6x^2[/tex]

Reciprocal function:   [tex]y=\dfrac{2}{3x}[/tex]

Answer: 91

Step-by-step explanation:

Answer:

$7.5

Step-by-step explanation:

Answer:

34 pounds

Step-by-step explanation:

hi again!

so if three students have 10.2 to wash, we can find how many pounds the 3 students have in total by multiplying 10.2*3, because that is the same as doing 10.2+10.2+10.2. this gives us a result of 30.6 points for the three students.

now if the fourth student has 3.4 pounds, we just add that to 30.6

thus we have 30.6+3.4 which equals your answer, 34.

Answer:

perimeter=6x+10

area=2x^2+2x-24

Step-by-step explanation:

perimeter=2x+8+x-3+2x+8+x-3

area=(2x+8)(x-3)

Answer:

y ≥ -6

Step-by-step explanation:

Hello!

The domain is the interval in which the graph is located vertically on the coordinate plane.

The range is the interval in which the graph is located horizontally on the graph.

Since we are finding the range of the graph, we draw a horizontal line at the lowest point of that graph. We can see that the line is y=-6 because the lowest point given by that horizontal line is -6.

Now that we know that it is the lowest point, we must find the highest point of the graph. Looking at it, we can see that it goes infinitely up, or it continues above -6. This means that the graph hits every horizontal line above -6, or all the values above -6.

The interval would be -6 ≤ y ≤ ∞ (greater than or equal to sign because the graph includes the point) or we can simply rewrite it as all values above -6 or y ≥ -6.

The correct option is D, A bigger down payment is money paid toward principal, interest-free, which also decreases the amount paid monthly.

The amount of money a lender or financial organization earns for lending out money is known as interest.

We know that monthly payments include the interest on the principal amount that is not been paid during the purchase of an item, if the down payment is more than the principal amount that the customer does not pay will decrease which will decrease the loan amount, thus, the interest on the principal amount will decrease as well.

Now, as the interest and the principal amount have both is been reduced, therefore, the monthly instalment(monthly payment) will be reduced as well.

Hence, the correct option is D, A bigger down payment is money paid toward principal, interest-free, which also decreases the amount paid monthly.

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Answer:

d

Step-by-step explanation:

on edge

Answer:

Perimeter: 37.4

Area: 74.1

Step-by-step explanation:

Perimeter is 2(5.7) + 2(13) = 11.4 + 26 = 37.4

Area is 5.7*13 = 74.1

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Answer:

10n=3-1

solve for N

1

n=5

The quotient of the provided fractional number is equal to the option D which is,

[tex]-2x^9[/tex]

Quotient is the resultant number which is obtain by dividing a number with another. Let a number a is divided by number b. Then the quotient of these two number will be,

[tex]q=\dfrac{a}{b}[/tex]

Here, (a, b) are the real numbers.

The fraction given in the problem is,

[tex]\dfrac{-8x^6}{4x^{-3}}[/tex]

Let the quotient of the above function is q. Thus,

[tex]q=\dfrac{-8x^6}{4x^{-3}}[/tex]

In a fraction number, a negative power of a number in the denominator can be written with a positive number in the numerator and vise versa. Thus,

[tex]q=\dfrac{-8x^6(x^3)}{4}\\q=-2x^{6+3}\\q=-2x^9[/tex]

Hence, the quotient of the provided fractional number is equal to the option D which is,

[tex]-2x^9[/tex]

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Answer:

It's D -2x^9

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

A) a(n) = 8n - 15

this is incorrect because if n = 3, then a = 9 not 1.

B) a(n) = -8n-15

this is incorrect because if n = 3, then a = -39 not 1.

C) a(n) = 8n-23

this is correct because if n = 3, then a = 1, and if n = 9, then a = 49.

D) a(n) = -8n-23

this is incorrect because if n = 3, then a = -47 not 1.

Hope this helps!

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Answer:

$800.06.

Step-by-step explanation:

First you multiply 728.98 by 9.75% which is 71.08. Then you would add the two numbers together which gives you $800.06.

Answer:

A.

Step-by-step explanation:

By using elimination, you get 0 = 1, which isn't a solution.

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Answer:

The first answer choice (3x + y = 8 and 3x + y = 9)

Step-by-step explanation:

You can't have 3x + y equal 8 and 9.

It must only be 1 value.

Answer:

a

Step-by-step explanation:

Answer: 78

Step-by-step explanation:

Step 1:

Substitute the variables in:

6(9) - 8(-3)

Step 2:

Multiply to get rid of the parentheses:

54 - -24 = 54 + 24 (the two negatives cancel out)

Step 3:

Add, and then you're done:

54 + 24 = 78

hope this helps :)

Roderigo will pay $7353.80 in interest.

Interest capitalization means the interest earned is added to the principle amount so first we will use compound interest formula.

[tex]Amount=p(1+\frac{r}{n} )^{nt}[/tex]

p = 8575

r = 7.1% or 0.071

n = 12

t = 4

Putting the values in formula we get

[tex]Amount=8575(1+\frac{0.071}{12} )^{12(4)}[/tex]

[tex]Amount=8575(1+\frac{0.071}{12} )^{48}[/tex]

Solving this we get;

Amount = $11381.94

For the next part we have EMI formula as,

[tex]EMI=\frac{pr(1+r)^{n} }{(1+r)^{n-1}}[/tex]

p = 11381.94

[tex]r=\frac{7.1}{\frac{12}{100} }=0.005917[/tex]

[tex]n=(12)(10)\\n=120[/tex]

[tex]EMI=\frac{11381.94(0.005979)(1+0.005979)^{120} }{(1+0.005979)^{120}-1}[/tex]

EMI = $132.74

Now total payments made in 120 months (10 years) =

[tex]132.74(120)=15928.80[/tex]  dollars

interest paid =

[tex]15928.80-8575=7353.80[/tex] dollars

Hence, Roderigo will pay $7353.80

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